PID control of second-order systems with hysteresis

Authors: Jayawardhana, Bayu; Logemann, Hartmut; Ryan, Eugene

Source: International Journal of Control, Volume 81, Number 8, August 2008 , pp. 1331-1342(12)

Buy & download fulltext article:

Price: $56.94 plus tax (Refund Policy)

Abstract:

The efficacy of proportional, integral and derivative (PID) control for set point regulation and disturbance rejection is investigated in a context of second-order systems with hysteretic components. Two basic structures are studied: in the first, the hysteretic component resides (internally) in the restoring force action of the system ('hysteretic spring' effects); in the second, the hysteretic component resides (externally) in the input channel (e.g. piezo-electric actuators). In each case, robust conditions on the PID gains, explicitly formulated in terms of the system data, are determined under which asymptotic tracking of constant reference signals and rejection of constant disturbance signals is guaranteed.

Keywords: hysteresis; non-linear systems; PID control; tuning regulators

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207170701772479

Affiliations: 1: Department of Mathematical Sciences, University of Bath, UK

Publication date: 2008-08-01

More about this publication?